Two-phase permeable non-Newtonian cross-nanomaterial flow with Arrhenius energy and entropy generation: Darcy-Forchheimer model

The present work concentrates on two-dimensional steady incompressible flow of a non-Newtonian cross nanofluid past a linear stretching/shrinking sheet with a magnetic field in Darcy-Forchheimer porous regime. The entropy theory with Arrhenius energy is incorporated into the study. The shooting method is employed to obtain numerical solutions of the transformed system of non-linear equations. The influence of the governing parameters on the non-dimensional velocity, temperature, micro-rotation, drag force, heat and mass transfer rates, rate of entropy generation, Bejan number, streamlines and finally isotherms are incorporated. The significant outcomes of the current investigation are that increment in suction parameter uplifts flow velocity, temperature and concentration while injection is petered out them. Bejan number augments due to increment in inertia coefficient while reduces due to magnetic strength and Eckert number.